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132605829 = 361011801
BaseRepresentation
bin1111110011101…
…10011110000101
3100020112002000000
413321312132011
5232421341304
621054111513
73200062626
oct771663605
9306462000
10132605829
11689417a4
12384ab599
132161b8b5
141387ba4d
15b995939
hex7e76785

132605829 has 28 divisors (see below), whose sum is σ = 200897772. Its totient is φ = 87480000.

The previous prime is 132605813. The next prime is 132605857. The reversal of 132605829 is 928506231.

132605829 is a `hidden beast` number, since 13 + 2 + 60 + 582 + 9 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 77475204 + 55130625 = 8802^2 + 7425^2 .

It is not a de Polignac number, because 132605829 - 24 = 132605813 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 132605793 and 132605802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132605129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 72729 + ... + 74529.

Almost surely, 2132605829 is an apocalyptic number.

It is an amenable number.

132605829 is a deficient number, since it is larger than the sum of its proper divisors (68291943).

132605829 is an equidigital number, since it uses as much as digits as its factorization.

132605829 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1920 (or 1905 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 132605829 is about 11515.4604336952. The cubic root of 132605829 is about 509.9421041545.

The spelling of 132605829 in words is "one hundred thirty-two million, six hundred five thousand, eight hundred twenty-nine".

Divisors: 1 3 9 27 81 101 243 303 729 909 1801 2727 5403 8181 16209 24543 48627 73629 145881 181901 437643 545703 1312929 1637109 4911327 14733981 44201943 132605829